2 2 2 2
A) 1 B) 1 /2 C) 2 D) 1 /4 E) 1 /8
Hisoblang: sin 4 + cos 4 + sin 4 + cos 4 .
A) 1 B) 1 /2 C) 2 D) 1 /4 E) 1/8
Agar sin α = 1/3 bo’lsa, cos (π /4 – α) sin (3π /4 – α) ni hisoblang.
A) 5/6 B) 3/ 4 C) 4/5 D) 3 /4 E) 3 /2
1 −sin2−cos2α−sin2α
Soddalashtiring:
4sin4
A) tg2 B) 1 C) –1 D) ctg2 E) – ctg2
Agar tg α = 1/ 2 bo’lsa, sin (2 α + π /4) ni hisoblang.
A) 1 /2 B) – 1 / 2 C) –2 D) 4 /5 E) – 4 /5
Hisoblang: sin 200 sin 400 sin 800
A) B) C) D) E)
sin 160 ni cos 370 = a orqali ifodalang.
A) a2 – 1 B) a –1 C) 2a2 – 1 D) 1 – a2 E) aniqlab bo'lmaydi
16. m ning m−1; 5m−1; 12m+1 lar ko‘rsatilgan tartibda arifmetik progressiya tashkil qiladigan qiymatlari yig‘indisni toping.
A) 12 B)13 C) 8 D) 15 E)aniqlab bo'lmaydi 17. Agar a = 25 + 2-5 va b = 25 – 2-5 bo’lsa, a2 – b2 ni toping?
A) 0 B) 2 C) 1 /2 D) 1 /4 E) 4
Hisoblang: 7+ 4 3 + 7−4 3
A) 3 B) 5 C) 4 D) 6 E) 7
Soddalashtiring: 21−2 21+ 2 19−6 2
A) 3 2 + 1 B) 3 2 + 2 C) 3 2 - 2 D) 2 3 + 2 E) 3 2 - 1 2 2
a − a −6−(a +3) a − 4
a = 5,2 da ifodani qiymatini hisoblang. a2 + a −6−(a −3) a2 − 4
A) 1,5 B) – 2,5 C) – 1,5 D) 2,4 E) – 3,2
Soddalashtiring:
A) 2 B) 1 C) 3 D) 4 E) 6
− − −
Soddalashtiring: a − 2a + a :a
A) a – 2 B) a2 – 1 C) a – 1 D) a −3 E) a2 −1
4x2 −4xy +3y2 x + y
Agar 2 2 =1 bo’lsa, ni hisoblang.
2y + 2xy −5x x − y
A) 2 B)–2 C) 1 /2 D) – 1 /2 E) – 1
a ning qanday qiymatlarida (a2 + 2)x = a (x – 7) + 2 tenglamaning ildizlari cheksiz ko‘p bo‘ladi?
A) - 2 B) C) 2 D) - 2 ; 2 E) to’g’ri javob yo’q
⎧ 10
⎪xy/(x + y) = 7
⎪
⎪ 40
⎨yz/(y + z) = sistemasidan x ni toping.
⎪ 13
⎪ 5
⎪⎩7x/(x + z) = 3
A) 80/79 B) 3/7 C) 7/13 D) 79/80 E) 7/5
⎧3x +(k −1)y = k +1
k ning qanday qiymatlarida ⎨ tenglamalar sistemasi ⎩(k +1)x + y = 3
cheksiz ko‘p yechimga ega bo‘ladi?
A) –1 B) –2 C) 0 D) 2 E) 1
Ushbu (x2 – x – 1) (x2 – x – 7) ≤ – 5 tengsizlikni eng katta va eng kichik butun ildizlari ayirmasini toping.
A) 2 B) 3 C) 4 D) 5 E) 6
Agar 9 ≤ x ≤ y ≤ z ≤ t ≤ 81 bo’lsa, x/y + z/t ifodaning eng kichik qiymatini toping?
A) 2 /3 B) 3 /2 C) 1 /5 D) 1 /3 E) aniqlab bo’lmaydi
Tenglamaning ildizlari yig’indisini toping: |x + 1| = 2 |x – 2|.
A) 2 B)3 C) 4 D) 1 E) 0
3 3 x
Agar 1+ x −1 + 1− x −1 = 2 bo’lsa, ni hisoblang. x + 2
A) 2 /3 B) – 2 /3 C)1 /3 D) – 1 /3 E) 3 /5
a soni b2 – 3 bilan to‘g‘ri proporsional. b =5 bo‘lganda a = 88 bo‘lsa, b = -3 bo‘lganda a soni nechaga teng bo‘ladi?
A) 24 B) 6 C) 18 D) 12 E) 36
5−| 2x −1| < 2 tengsizlikning butun yechimlari sonini toping.. A) 2 B) 3 C) 4 D) 6 E) cheksiz ko’p
x2 −4x + 4
Funksiyaning aniqlanish sohasini toping: y = 2
1− x
A) (-1; 1) B) (-1; 1) U {2} C) (-1; 2) D) (-∞; -1) U {2} E) (-∞; -1) U (1; +∞)
m ning qanday qiymatlarida 4x2 – ( 3 m – 3)x – 9 = 0 tenglama turli ishorali ildizlarga ega bo’ladi?
A) 1,5 B) ± 3 C) 1,5 D) 3 E) 0
⎛ 1 ⎞⎛ 1 ⎞ ⎛ 1 ⎞
Hisoblang: ⎜1− 2 ⎟⎜1− 2 ⎟...⎜1− 2 ⎟.
⎝ 5 ⎠⎝ 6 ⎠ ⎝ 103 ⎠
A) 64/103 B) 67/103 C) 69/103 D) 415/515 E) 416/515 2 2
Agar a(x;1;−1), b(1;0;1) vektorlar uchun (a+3b) =(a−2b) shart bajarilsa, х ni toping.
A) 0 B) 1 C) – 1 D) 0,5 E) – 1 /2
Uchburchakning uchlari A(3; -2; 1), B (3; 0; 2) , C(1; 2; 5) nuqtalarda joylashgan. Shu uchburchakning BD medianasi va AC asosi orasidagi burchakni toping.
A) 30 0 B) 600 C) 450 D) arccos 1 /3 E) 750
b vektor a (1; 2; 2) vektorga kollinear hamda bu vektorlarning skalyar
ko‘paytmasi 36 ga teng. b vektorning uzunligini toping.
A) 3 B) 4 C) 12 D) 6 E) 5
Berilgan nuqtadan tekislikka uzunliklari 13 va 37 sm bo‘lgan ikkita og‘ma o‘tkazilgan. Og‘malarning tekislikdagi proyejsiyalari nisbati 1 : 7 kabi bo‘lsa, tekislikdan berilgan nuqtagacha bo‘lgan masofani toping.
A) 12 B) 11,5 C) 11 D) 10,5 E)19
AB kesma α tekislikni O nuqtada kesib o‘tadi. Agar AO : OB = 3 : 2 bo‘lib, B nuqtadan x tekislikkacha bo`lgan masofa 8 ga teng bo`lsa, A nuqtadan α tekislikkacha bo`lgan masofani aniqlang.
A) 11 B) 12 C) 10 D) 9 E) 13
x2 = y2 + 2y + 13 tenglamani qanoatlantiruvchi (x; y) butun sonlar juftligini toping.
A) (4; 1), (-4; 1) B) (4; 1), (4;- 1), (-4; 1), (-4; -3) C) (4; -3), (-4; -3) D) (4; 1) E) cheksiz ko'p
x3 2
Tenglamani yeching: + x −4 = 0
4− x2
A) ± 2 B) 2 C) ± 2 D) 2 E) yechimi yo'q
Sonlarni taqqoslang: a = sin1 , b = log.
A) a = b B) a > b C) a = b + 1 D) a < b E) taqqoslab bo'lmaydi sin x +tgx
x ning qanday qiymatlarida ifoda musbat bo’ladi?
A) x B) (-∞; ∞)
C) (0; ∞) D) (-∞; 0) E) x ≠πκ,κ∈Ζ
5
n ning qnday qiymatlarida cosnx ⋅ sin x ning davri 3π ga teng? n
A) ±1, ±3, ±5, ±15 B) 1, 3, 5, 15 C) 1, 2, 3, 4 D) n = 5k E) n ≠ 5k
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